Elementary Algebra Practice Test 3

NO CALCULATORS! This practice exam should take approximately 1 hour to complete. When you're finished, click "Grade the Test" at the bottom of this screen. This score has no effect on your grade in the course, and Mr. Flacche does not see the results of this practice test. It is only intended for your personal assessment of your skills.

**This is not a replica of the test you will see in class, and should not be your only study guide while preparing for the exam. Make sure to practice exercises from the text, workbook and Connect before taking the in-class test!**



1.
Perform the indicated operations.
   25 + 13 – 21 – (–23) + 7
A.
47
B.
1
C.
89
D.
43


2.
Combine like terms.
   10x – 6 + 6x – 3 – 3x
A.
4x – 9
B.
19x – 3
C.
13x – 9
D.
4x – 3


3.
Simplify.
   14(5y – 4) – 13y
A.
57y – 4
B.
57y – 56
C.
53y
D.
–112y – 56


4.
Solve the equation.
   5n – 8 = 11n + 5
A.
n = –
B.
n =
C.
n =
D.
n = –


5.
Solve the equation.
   
A.
t =
B.
t = –
C.
t =
D.
t = –


6.
Solve the equation.   
 
A.
2
B.
1
C.
0
D.
-1


7.
The sum of two consecutive integers is –175. Find the least of the two integers.
A.
–88
B.
–176
C.
–87
D.
88


8.
Solve the inequality. Write your answer in interval notation.
   10x + 6 > 7
A.
B.
C.
D.
(1, ∞)


9.
The graph of the equation y = –6 is a ____________ line.
A.
Horizontal
B.
Vertical
C.
Slanted
D.
Dotted


10.
Use the slope formula to determine the slope of the line between the pair of points.
    and
A.
B.
C.
D.


11.
Solve the system.
    x + y = 7
   3x + y = 9
A.
(4, –3)
B.
(1, 6)
C.
(6, 1)
D.
no solution


12.
Solve the system.
   y = 7x + 10
   –3y + 21x = –2
A.
(10, –2)
B.
(0, 10)
C.
Dependent
D.
Inconsistent


13.
Simplify.
   (–15)0
A.
0
B.
–15
C.
1
D.
15


14.
Simplify.
   
A.
B.
C.
D.


15.
Simplify.
   
A.
B.
C.
D.


16.
Write the number in scientific notation.
   71,200,000
A.
B.
C.
D.


17.
Write the number in scientific notation.
   0.0397
A.
B.
C.
D.


18.
Write the number in standard notation.
   
A.
13,500
B.
135,000
C.
D.


19.
Add 5x4 and –11x + 8.
A.
–6x + 4
B.
16x + 12
C.
–6x + 3
D.
16x + 13


20.
Subtract.
    (14x2 + 19x) – (–3x2 + 14x)
A.
11x4 + 33x2
B.
11x2 + 33x
C.
17x2 + 5x
D.
17x2 + 33x


21.
Subtract 6x 5 from 9x + 12.
A.
3x +7
B.
3x +17
C.
–3x +17
D.
–3x +7


22.
Categorize the expression as a monomial, a binomial, or a trinomial.
   9x3 – 17x
A.
monomial
B.
binomial
C.
trinomial


23.
What is the degree of the polynomial?
   2x2 – 3x4 + 15x
A.
–3
B.
2
C.
2
D.
4


24.
Multiply.
   (3x + 10)(10x – 9)
A.
30x2 – 90
B.
30x2 + 73x – 90
C.
30x2 – 100x – 90
D.
13x – 90


25.
Perform the indicated operation.
   (6w – 2t)2
A.
36w2 – 24wt + 4t2
B.
36w2 – 4t2
C.
36w2 + 4t2
D.
36w2 + 24wt – 4t2


26.
Identify the greatest common factor.
   14y4, 7y3, 21y
A.
14y4
B.
7
C.
7y
D.
21


27.
Factor.
   12t – 18
A.
12(t – 18)
B.
12(t – 2)
C.
6(2t – 3)
D.
6t(2 – 3)


28.
Factor.
   3x(4x – 3) + 5(4x – 3)
A.
12x2 + 11x – 15
B.
(4x – 3)(23x – 15)
C.
(4x – 3)(3x + 5)
D.
(5x – 3)(4x + 5)


29.
Factor.
   z2 + 6z – 27
A.
(z – 9)(z + 3)
B.
(z – 10)(z + 2)
C.
(z + 9)(z – 3)
D.
The polynomial is prime.


30.
Factor.
   2c2 – 11cd – 21d2
A.
(2c + 3d)(c – 7d)
B.
(2c + 7d)(c – 3d)
C.
(2c – 3d)(c – 7d)
D.
The polynomial is prime.


31.
Factor.
   25x2 – 81
A.
(5x – 9)2
B.
(5x + 9)2
C.
(5x + 9)(5x – 9)
D.
(25x + 9)(x – 9)


32.
Find all solutions for t.
   
A.
B.
C.
D.


33.
Find all solutions for y.
   y2 – 15y = 0
A.
y = 0, y = 15
B.
y = 15
C.
y = 0, y = –15
D.
y = 0,


34.
Find all solutions for t.
   t2 – 10t = –24
A.
t = 0, t = 10
B.
t = –6, t = –4
C.
t = 6, t = 4
D.
t = 0, t = –10


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